7 problems

Let $X$ be a smooth projective variety equipped with an algebraic $T_\mathbb{C}$-action, and let $Y$ be a smooth GIT quotient of $X$ without orbifold singularities. Let…

Let $T$ act on a Fano manifold $X$, and let $X//T$ be the GIT quotient with respect to the polarization $c_1^T(TX)$. Write $QH_T^*(X)$ for equivariant quantum cohomology and…

Let $V//G$ be a GIT quotient satisfying the source's mild hypotheses, including that the $G$-unstable locus has codimension two. Let $T_G$ be a maximal torus of $G$, let $W$ be its…

Let $X_G$ be a Fano GIT quotient with abelianisation $X_T$, and let $W_q$ be the Hori–Vafa mirror potential for $X_T$ augmented by the weights arising from the roots $R$, equivalen…

Ciocan-Fontanine–Kim–Sabbah conjecture. For $\alpha,\alpha',\zeta,\zeta'$ as above,

Let $C$ be a space with an action of a reductive group $G$, let $T$ be a maximal torus of $G$, and let $W$ be the Weyl group. Write $\Pi \mathfrak{g}/\mathfrak{t}$ for the super-sp…

Let $E\to E\sslash \textbf{G}$ be the GIT quotient in the paper, let $H^*(E\sslash \textbf{G},\Lambda)$ be its cohomology with coefficient ring $\Lambda$, and let…